If there are redundant constraints in the chain and it forms a statically indeterminate structure, what is the degree of freedom or the mobility of this structure?

Muller-Breslau Principle for obtaining influence lines is applicable to 1. Statically determinate beams and frame 2. Statically indeterminate structures, the material of which is elastic and follows Hooke’s law 3.Any statically indeterminate structure

A

1 and 2 only

B

1 only

C

2 only

D

1 and 3 only

E

All of these

Muller Breslau’s principle for obtaining influence lines is applicable toi) trussesii) statically determinate beams and framesiii) statically indeterminate structures, the material of which is elastic and follows Hooke’s lawiv) any statically indeterminate structureThe correct answer is

A

(i), (ii) and (iii)

B

(i), (ii) and (iv)

C

(i) and (ii)

D

only (i)

Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8 and a vertex of degree 9. What can be the degree of the last vertex?

A

4

B

0

C

2

D

5

Consider the following statements: Any element connected in 1. Series with an ideal current source is redundant. 2. Parallel with an ideal current source is redundant. 3. Series with an ideal voltage source is redundant. 4. Parallel with an ideal voltage source is redundant. Which of the above statements is/are correct?

A

1 only

B

2 and 3

C

2 only

D

1 and 4

Study the following statements.i) The displacement method is more useful when degree of kinematic indeterminacy is greater than the degree of static indeterminacy.ii) The displacement method is more useful when degree of kinematic indeterminacy is less than the degree of static indeterminacy.iii) The force method is more useful when degree of static indeterminacy is greater than the degree of kinematic indeterminacy.iv) The force method is more useful when degree of static indeterminacy is less than the degree of kinematic indeterminacy.The correct answer is

A

(i) and (iii)

B

(ii) and (iii)

C

(i) and (iv)

D

(ii) and (iv)

Consider the following statements regarding continuous beam: 1. A beam is said to be a continuous beam if it is supported on more than two supports. 2. A continuous beam is a statically indeterminate structure. 3. The degree of indeterminacy depends upon the number of supports and also on the nature of the supports. Which of the above statements are correct?

A

1 and 2 only

B

2 and 3 only

C

1, 2 and 3

D

1 and 3 only

Assuming Z and Y are the two control variables, the following are the constraints laid out for maximizing the profit: Maximize profit (P) = 8X – 5Y Subject to Constraint-1: 2X + Y ≤ 1000 Constraint-2: 3X + 4Y ≤ 2400 Constraint-3: X + Y ≤ 800 Constraint-4: X – Y ≤ 350 Constraint-5: X ≥ 0 Constraint-6: Y ≥ 0 Which of the above constraints is a redundant one and does not have any effect on the solution?

A

Constraint-1

B

Constraint-3

C

Constraint-4

D

Constraint-5 and Constraint-6

The rear window of an automobile is made of thick glass i.e. AB = 5 mm and thermal conductivity is 0.8 W/m degree. To defrost this window, a thin transparent film type heating element has been fixed to its inner surface. For the conditions given below, determine the electric power that must be provided per unit area of window if a temperature 5 degree Celsius is maintained at its outer surface. Interior air temperature and the corresponding surface coefficient are 20 degree Celsius and 12 W/m2 degree. Surrounding air temperature and the corresponding surface coefficient are – 15 degree Celsius and 70 W/m2 degree. Electric heater provides uniform heat flux

A

232.5 /m2

B

1232.5 /m2

C

2232.5 /m2

D

3232.5 /m2

A two dimensional structure in general is classified as a statically indeterminate structure if it cannot be analyzed by which of the following equations of equilibrium

A

Sum of vertical forces is zero

B

Sum of horizontal forces is zero

C

Sum of moments of all the forces about any point in the plane is zero

D

i, ii & iii above

E

i & iii above

Which of the following are parameters of an effective communication? (A) Freedom to see and hear. What is here? (B) Freedom to say. What one thinks and feels? (C) Freedom to decide. What should be, was, are, will be? (D) Freedom to feel. What one feels? (E) Freedom of always waiting for permission. Choose the correct answer from the options given below :

A

(A), (B) and (D) only

B

(A), (B) and (C) only

C

(B), (C) and (D) only

D

(C), (D) and (E) only

If there are redundant constraints in the chain and it forms a statically indeterminate structure, what is the degree of freedom or the mobility of this structure?

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